Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49010l |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
208656 |
Modular degree for the optimal curve |
Δ |
-217125748736000 = -1 · 221 · 53 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 6 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11411,849185] |
[a1,a2,a3,a4,a6] |
j |
-5753389782049/7602176000 |
j-invariant |
L |
3.5424215927538 |
L(r)(E,1)/r! |
Ω |
0.50606022763647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49010f1 |
Quadratic twists by: 13 |